From 180221301ca353cc170a29742f5ea9bffeb02446 Mon Sep 17 00:00:00 2001 From: KillerBossOriginal Date: Wed, 18 Sep 2024 22:22:57 +0200 Subject: [PATCH] sync --- .../Leonardo da Vinci/Leonardo da Vinci.md | 2 +- .../Drawing 2024-05-28 19.20.02.excalidraw.md | 63 ------------ Filosofia/Aristotele/Aristotele.md | 2 + Filosofia/Aristotele/{Utils.md => Date.md} | 0 Fisica/Fisica.md | 9 +- Fisica/La densità.md | 2 + Fisica/{Il Lavoro.md => Lavoro.md} | 0 .../Meccanica dei Fluidi.md | 95 ++++++++++++++++++ .../equazione di bernoulli.png | Bin 0 -> 126715 bytes .../legge di archimede.png | Bin 0 -> 34018 bytes .../Meccanica dei Fluidi/legge di stevino.png | Bin 0 -> 25270 bytes Fisica/Pressione.md | 7 ++ Matematica/Matematica.md | 4 +- 13 files changed, 117 insertions(+), 67 deletions(-) delete mode 100644 Excalidraw/Drawing 2024-05-28 19.20.02.excalidraw.md rename Filosofia/Aristotele/{Utils.md => Date.md} (100%) create mode 100644 Fisica/La densità.md rename Fisica/{Il Lavoro.md => Lavoro.md} (100%) create mode 100644 Fisica/Meccanica dei Fluidi/Meccanica dei Fluidi.md create mode 100644 Fisica/Meccanica dei Fluidi/equazione di bernoulli.png create mode 100644 Fisica/Meccanica dei Fluidi/legge di archimede.png create mode 100644 Fisica/Meccanica dei Fluidi/legge di stevino.png create mode 100644 Fisica/Pressione.md diff --git a/Arte/Rinascimento Maturo/Leonardo da Vinci/Leonardo da Vinci.md b/Arte/Rinascimento Maturo/Leonardo da Vinci/Leonardo da Vinci.md index 2ddd7fc..7eb09df 100644 --- a/Arte/Rinascimento Maturo/Leonardo da Vinci/Leonardo da Vinci.md +++ b/Arte/Rinascimento Maturo/Leonardo da Vinci/Leonardo da Vinci.md @@ -12,7 +12,7 @@ Opere - La dama con l'ermellino - Il cenacolo - La gioconda - +[Domande](Domande.md) # Biografia ## Nascita e Adolescenza Leonardo da Vinci è uno scienziato nato a Vinci come figlio illegittimo di un ricco notaio che lo accudì e lo crebbe a Vinci. diff --git a/Excalidraw/Drawing 2024-05-28 19.20.02.excalidraw.md b/Excalidraw/Drawing 2024-05-28 19.20.02.excalidraw.md deleted file mode 100644 index 7c06427..0000000 --- a/Excalidraw/Drawing 2024-05-28 19.20.02.excalidraw.md +++ /dev/null @@ -1,63 +0,0 @@ ---- - -excalidraw-plugin: parsed -tags: [excalidraw] - ---- -==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== You can decompress Drawing data with the command palette: 'Decompress current Excalidraw file'. 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Egli arriva ad Atene, e non essendo Ateniese viene classificato come immigrato. diff --git a/Filosofia/Aristotele/Utils.md b/Filosofia/Aristotele/Date.md similarity index 100% rename from Filosofia/Aristotele/Utils.md rename to Filosofia/Aristotele/Date.md diff --git a/Fisica/Fisica.md b/Fisica/Fisica.md index 2864034..86e6b2f 100644 --- a/Fisica/Fisica.md +++ b/Fisica/Fisica.md @@ -1,2 +1,7 @@ -- [Il Lavoro](Il%20Lavoro.md) -- [Termodinamica](./Termodinamica/Termodinamica.md) \ No newline at end of file +# Misure Composte +- [Il Lavoro](Lavoro.md) +- [La Pressione](Pressione.md) +- [La densità](La%20densità.md) +# Concetti +- [La Termodinamica](./Termodinamica/Termodinamica.md) +- [La Meccanica dei Fluidi](./Meccanica%20dei%20Fluidi/Meccanica%20dei%20Fluidi.md) \ No newline at end of file diff --git a/Fisica/La densità.md b/Fisica/La densità.md new file mode 100644 index 0000000..974574f --- /dev/null +++ b/Fisica/La densità.md @@ -0,0 +1,2 @@ +In un materiale omogeneo la densità è data dalla formula $$d=\frac{m [kg]}{V[m^2]}$$ +Nel caso il materiale non sia omogeneo si può parlare di densità media. \ No newline at end of file diff --git a/Fisica/Il Lavoro.md b/Fisica/Lavoro.md similarity index 100% rename from Fisica/Il Lavoro.md rename to Fisica/Lavoro.md diff --git a/Fisica/Meccanica dei Fluidi/Meccanica dei Fluidi.md b/Fisica/Meccanica dei Fluidi/Meccanica dei Fluidi.md new file mode 100644 index 0000000..5af52c5 --- /dev/null +++ b/Fisica/Meccanica dei Fluidi/Meccanica dei Fluidi.md @@ -0,0 +1,95 @@ +I fluidi hanno una [pressione](../Pressione.md) che si distribuisce su tutta la superfice a contatto. +# Fluidi Ideali +Un fluido è detto ideale se rispetta le seguenti condizioni: +- è un fluido +- è incomprimibile +- è privo di attrito +# Equilibrio dei Fluidi +## La legge di Stevino +> *"In un liquido in equilibrio, la differenza di pressione $p-p_0$ tra un punto a profondità $h$ e la superfice è direttamente proporzionale a $h$ e non dipende dalla forma del recipiente"* + +La legge di Stevino vale per i liquidi, ovvero fluidi incomprimibili di *densità* $d$ costante e indipendente dalla profondità $h$. +La legge è espressa dalla formula +$$p=p_0+dgh$$ +in cui $g$ è l'*accelerazione di gravità*, $p_0$ è la pressione sulla superfice del liquido ($= 1 atm$ quando all'aria) ed $h$ è la profondità. +![legge di stevino](legge%20di%20stevino.png) +## La legge di Archimede +Su un corpo immerso in un fluido, la differenza di pressione tra gli stati a profondità diverse crea una forza ($\overrightarrow{F_A}$) verso l'alto, chiamata spinta di Archimede. + +La forza è data dalla formula +$$ +F_A=Vdg +$$ +*analisi dimensionale* +$$ +N=\frac{m^3*kg*m}{m^3*s^2} +$$ +(*aka: "Vedi Di Galleggiare"*), in questo caso $V$ è il "volume d'acqua spostato"="il volume immerso", $g$ è la gravità e $d$ è la densità del fluido. +![legge di archimede](legge%20di%20archimede.png) +## Il galleggiamento +Un corpo: +- affonda se il peso è maggiore della [forza di Archimede](#La%20legge%20di%20Archimede) +- rimane stabile il peso è uguale alla [forza di Archimede](#La%20legge%20di%20Archimede) +- galleggia se il peso è minore della [forza di Archimede](#La%20legge%20di%20Archimede) +ovvero se la densità dell'oggetto è maggiore, uguale o minore di quella del fluido. +# La corrente +> Una **corrente** è un movimento ordinato di un liquido o di un gas. La sede di una corrente è il suo *condotto*. + +Per misurare la corrente si usa [la portata](#La%20portata). +> Una corrente si dice ==***stazionaria***== quando la velocità del fluido è costante nel tempo in ogni punto. +## La portata +> La **portata** $q$ di una corrente *che attraversa una sezione trasversale del condotto* è il rapporto tra il volume di fluido $\Delta V$ che oltrepassa *la sezione in un intervallo* di tempo $\Delta t$ e l'intervallo di tempo stesso $\Delta t$ + +$$ +q=\frac{\Delta V}{\Delta t} +$$ +*analisi dimensionale* +$$ +q=\frac{m^3}{s} +$$ +se la velocità è uguale in tutti i punti della sezione allora +$$ +q=Sv +$$ +dove $S$ è l'area della sezione e $v$ è la velocità. + +Se la velocità è uguale e se il fluido è un liquido incomprimibile si può applicare +$$S_A v_A = S_B v_B$$ +ovvero dice che: +- la portata non varia con la sezione trasversale in uno stesso tubo +- l'area e la velocità sono inversamente proporzionali +## Condotti irregolari +![equazione di bernoulli](equazione%20di%20bernoulli.png) +In un condotto come il precedente, dove cambia grandezza e dimensione, rimane fisso durante tutto il condotto il valore di questa formula: +$$ +p + \frac{1}{2}dv^2 + dgy +$$ +in cui: +- $p$ è la pressione +- $d$ è la densità del liquido +- $v$ è la velocità +- $g$ è la accelerazione di gravità +- $y$ è la quota da un livello di riferimento prefissato +funziona solo con i [Fluidi Ideali](#Fluidi%20Ideali), e ne descrive le correnti stazionarie. +# La legge di Torricelli +Un recipiente aperto ha un foro a profondità $h$ l'acqua esce alla velocità specificata dalla formula $$v=\sqrt{2gh}$$ +# Preparazione per la verifica + +| Formula | Utilizzo | +| --------------------------------------------- | ---------------------------------------------------------------------------------------------- | +| $q=\frac{\Delta V}{\Delta t}$ | $q$ è per calcolare la portata | +| $q=Sv$ | quando la velocità è uguale in tutto il fluido | +| $S_A v_A = S_B v_B$ | con un fluido incomprimibile nello stesso $\Delta t$ e la velocità è uguale in tutto il fluido | +| $p + \frac{1}{2}dv^2 + dgy = \text{costante}$ | rimane invariato nello stesso condotto, con [Fluidi Ideali](#Fluidi%20Ideali) | +| $v=\sqrt{2gh}$ | velocità di caduta in da un buco di un contenitore aperto | + +1. Cos'è una corrente? +> la corrente è un movimento ordinato di un fluido +2. Cos'è la portata? Fornisci la sua formula generale e spiegane il significato. +> la portata misura la quantità di fluido (in $\frac{m^3}{s}$) che passa per una determinata sezione trasversale +3. Quali sono le ipotesi per cui vale la formula $q=Sv$? +> la velocità è la stessa in tutti i punti della sezione trasversale da cui è stata presa l'area è $S$ +4. Quando si può dire che una corrente è stazionaria? +> quando rimane invariata nel tempo +5. Enuncia l'equazione di continuità e spiegane il significato. +> $S_A v_A = S_B v_B$ , dice che "la portata è uniforme lungo il condotto" *(la portata non varia al variare della sezione trasversale)* e che "l'area della sezione e la velocità sono inversamente proporzionali" \ No newline at end of file diff --git a/Fisica/Meccanica dei Fluidi/equazione di bernoulli.png b/Fisica/Meccanica dei Fluidi/equazione di bernoulli.png new file mode 100644 index 0000000000000000000000000000000000000000..8a8196b993c93601639ada5364d413bd60545520 GIT binary patch literal 126715 zcmdqJ1zQ~9wk%8%AZTz61b250?hxGF-QC^Y-8H!T0KwgZyE_DT_?o@Xx%d8tuOE6~ zdZz7_wQ5yW6DBJy3J-$~0|o{LFD@n|4+i#y1PttxBorjDW$2bD6ZrMXL0(h~h+0xctY^)|rMZ)qw3m*N(+gQ9#Z7 z^6^Ca|1S3-VPSUO@Ap1AM556(dcBa*I2=8joA?V_F1S9ADL%uSo3gj@>FKc1%kuIH z|6Q&>UD~{jcWsrGS8Wf)5ovne&T;?y6R_&@{sr#ax2voR&k&#ci#M=&<2QTjj2 zqi@S;o#ayMHQlF{^R|x?8F)!o;W%DlW~r*dPr8sehDjuVOjmvu>x1%)|5mV-YJ6CNDYAv`m$s$RjKhKZM1 z_l&odgJmV&xsey36yUA0%feq!!A5Nh)8XIS((2Xk}tWV&wb 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0000000..c133ff3 --- /dev/null +++ b/Fisica/Pressione.md @@ -0,0 +1,7 @@ +La pressione è determinata dalla seguente formula +$$ P_{[Pa]}=\frac{F_{\perp [N]}}{S_{[m^2]}} $$ +dove $F_\perp$ è la forza perpendicolare all'area e $S$ è la superfice. + +La pressione atmosferica $atm$ è stata calcolata ed approssimata ad $atm=1.013*10^5Pa$ nelle seguenti condizioni: +1. 45° di latitudine +2. 15° C di temperatura \ No newline at end of file diff --git a/Matematica/Matematica.md b/Matematica/Matematica.md index e1526b0..c617365 100644 --- a/Matematica/Matematica.md +++ b/Matematica/Matematica.md @@ -3,4 +3,6 @@ - [Logaritmi](Logaritmi.md) - [Statistica](Statistica.md) - [Geometria](./Geometria/Geometria.md) -- [Geometria Analitica](./Geometria%20Analitica/Geometria%20Analitica.md) \ No newline at end of file +- [Geometria Analitica](./Geometria%20Analitica/Geometria%20Analitica.md) + +[Esercizi](Esercizi.md) \ No newline at end of file